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Finding the Fourth Proportional to 17,714.78, 24,431.70 and 10,636.16

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Solution

The fourth proportional to 17,714.78, 24,431.70 and 10,636.16 is: 14,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.78 : 24,431.70 = 10,636.16 : x
  2. Step 2: Convert to fraction form
    17,714.78/24,431.70 = 10,636.16/x
  3. Step 3: Cross multiply
    17,714.78x = 24,431.70 × 10,636.16
  4. Step 4: Simplify right side
    17,714.78x = 259,859,470.27
  5. Step 5: Solve for x
    x = 259,859,470.27/17,714.78
  6. Step 6: Final answer
    x = 14,669.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.